1407440 has 40 divisors (see below), whose sum is σ = 3330888. Its totient is φ = 552960.

The previous prime is 1407409. The next prime is 1407449. The reversal of 1407440 is 447041.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 1098304 = 556^2 + 1048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5720 + ... + 5960.

2^1407440 is an apocalyptic number.

1407440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665444).

1407440 is an abundant number, since it is smaller than the sum of its proper divisors (1923448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1407440 is a wasteful number, since it uses less digits than its factorization.

1407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 1407440 is about 1186.3557645159. The cubic root of 1407440 is about 112.0667119563.

The spelling of 1407440 in words is "one million, four hundred seven thousand, four hundred forty".